Ian Simplification

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample3.6s (60.8%)

Memory
192.5MiB live, 4 135.4MiB allocated; 1.2s collecting garbage
Samples
1.7s3 301×2valid
1.4s4 811×1valid
19.0ms144×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-asin: 1.7s (59.8% of total)
adjust: 508.0ms (17.7% of total)
ival-sqrt: 238.0ms (8.3% of total)
ival-mult!: 161.0ms (5.6% of total)
ival-div!: 136.0ms (4.7% of total)
ival-sub!: 109.0ms (3.8% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

preprocess125.0ms (2.1%)

Memory
-49.0MiB live, 58.4MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01942
16042
218739
382039
4578339
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 26 to 22 computations (15.4% saved)

series6.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
11 → 29
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x)
2.0ms
x
@inf
((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x)
1.0ms
x
@0
((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x)

rewrite159.0ms (2.7%)

Memory
29.8MiB live, 172.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142643
0153598
1662595
05727540
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
40 → 159
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))
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(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
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(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
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(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx x x)
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#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
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#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (neg.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (neg.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (-.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (neg.f64 x)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))

eval21.0ms (0.4%)

Memory
-6.0MiB live, 39.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 617 to 813 computations (49.7% saved)

prune13.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New13712149
Fresh000
Picked101
Done000
Total13812150
Accuracy
9.9%
Counts
150 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.8%
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
▶8.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
▶6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
▶6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
▶4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
6.9%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
6.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Compiler

Compiled 498 to 378 computations (24.1% saved)

series25.0ms (0.4%)

Memory
-30.0MiB live, 16.7MiB allocated; 3ms collecting garbage
Counts
39 → 100
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1/2 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 1/2))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* -1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (* (sqrt 1/2) (sqrt (/ -1 x))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (/ (sqrt 1/2) (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (/ (sqrt 1/2) (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (+ (* 1/16 (/ (sqrt 1/2) (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))) (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1/2)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (* (sqrt 1/2) (sqrt (/ -1 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (/ (sqrt 1/2) (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x)))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (/ (sqrt 1/2) (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (+ (* 1/16 (/ (sqrt 1/2) (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))) (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@0
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) (acos (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) -1/2 x 1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (/ (PI) 2) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt (- 1 x)) (- 1 x) 1 (sqrt 1/2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) -2 (asin (sqrt (+ (* -1/2 x) 1/2))))
4.0ms
x
@inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) (acos (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) -1/2 x 1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (/ (PI) 2) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt (- 1 x)) (- 1 x) 1 (sqrt 1/2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) -2 (asin (sqrt (+ (* -1/2 x) 1/2))))
4.0ms
x
@-inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) (acos (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) -1/2 x 1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (/ (PI) 2) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt (- 1 x)) (- 1 x) 1 (sqrt 1/2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (sqrt (PI)) (/ (sqrt (PI)) 2) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) -2 (asin (sqrt (+ (* -1/2 x) 1/2))))

rewrite188.0ms (3.2%)

Memory
-0.1MiB live, 178.9MiB allocated; 84ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03662568
04162343
117022335
080632280
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
139 → 367
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1/2 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 1/2))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* -1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (* (sqrt 1/2) (sqrt (/ -1 x))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (/ (sqrt 1/2) (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (/ (sqrt 1/2) (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (+ (* 1/16 (/ (sqrt 1/2) (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))) (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1/2)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (* (sqrt 1/2) (sqrt (/ -1 x)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (/ (sqrt 1/2) (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x)))))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (/ (sqrt 1/2) (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))) (+ (* 1/16 (/ (sqrt 1/2) (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))) (+ (* 1/2 (/ (sqrt 1/2) (* (pow x 2) (sqrt (/ -1 x))))) (* (sqrt 1/2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
Outputs
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
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(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 5/2 binary64))) #s(literal -1/128 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/2 x) 1/2) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 5/2 binary64))) #s(literal -1/128 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(literal 1/2 binary64))
#s(approx (* (- (/ 1/2 x) 1/2) x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (+ (* -1/2 x) 1/2))))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (/ (- 1 x) 2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) x))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) x))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))) x))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1/2 x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/2 x) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (* 2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))

eval46.0ms (0.8%)

Memory
44.6MiB live, 90.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 6 419 to 1 875 computations (70.8% saved)

prune25.0ms (0.4%)

Memory
-21.8MiB live, 37.0MiB allocated; 10ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New3646370
Fresh077
Picked145
Done000
Total36517382
Accuracy
9.9%
Counts
382 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
▶6.9%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
✓6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
▶6.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.8%
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
5.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
▶6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
✓6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
✓6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x))))))
✓4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
6.9%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
▶6.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
▶8.4%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
Compiler

Compiled 682 to 527 computations (22.7% saved)

series22.0ms (0.4%)

Memory
-12.4MiB live, 33.9MiB allocated; 3ms collecting garbage
Counts
43 → 100
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (- 1 x))))))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (pow (sqrt (sqrt (PI))) 4)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ (* x (sqrt (/ -1 x))) (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (sqrt (PI))) 4)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (/ (* x (sqrt (/ -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) (PI) 1/2 (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (* 1/2 (PI)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (/ (PI) 2) 2 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 (sqrt 2) (+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI))) (sqrt (PI)) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)))
6.0ms
x
@inf
((+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) (PI) 1/2 (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (* 1/2 (PI)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (/ (PI) 2) 2 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 (sqrt 2) (+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI))) (sqrt (PI)) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)))
5.0ms
x
@-inf
((+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) (PI) 1/2 (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (* 1/2 (PI)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (/ (PI) 2) 2 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 (sqrt 2) (+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI))) (sqrt (PI)) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (/ (* (PI) (PI)) 4) (* (PI) (PI)) 4 (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)))

rewrite194.0ms (3.3%)

Memory
14.3MiB live, 238.9MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04132945
04782599
120062579
087442519
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
143 → 454
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (- 1 x))))))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (pow (sqrt (sqrt (PI))) 4)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ (* x (sqrt (/ -1 x))) (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) (/ (* (sqrt (sqrt (PI))) (sqrt (sqrt (PI)))) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (sqrt (PI))) 4)))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (+ 1 (* -1 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (/ (* x (sqrt (/ -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))))))
(fma.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
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(*.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (PI.f64)) #s(literal -4 binary64))
(/.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(pow.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 8 binary64))
(pow.f64 (PI.f64) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(fabs.f64 (*.f64 (PI.f64) (PI.f64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (PI.f64)))
#s(literal 4 binary64)
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))
(*.f64 (fabs.f64 (fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fabs.f64 (fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (neg.f64 (fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (neg.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) (fma.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 5/2 binary64))) #s(literal -1/128 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/2 x) 1/2) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 5/2 binary64))) #s(literal -1/128 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/2 x) 1/2) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (+ (* (PI) 1/2) (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))))) (fma.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -2 (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2))))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* 1/2 (PI))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

eval69.0ms (1.2%)

Memory
25.8MiB live, 69.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 6 491 to 1 886 computations (70.9% saved)

prune63.0ms (1.1%)

Memory
-35.9MiB live, 27.7MiB allocated; 8ms collecting garbage
Pruning

28 alts after pruning (20 fresh and 8 done)

PrunedKeptTotal
New35014364
Fresh268
Picked145
Done044
Total35328381
Accuracy
10.0%
Counts
381 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
✓6.9%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
▶6.8%
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
6.8%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
✓6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.9%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.8%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
▶6.8%
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.8%
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
✓6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
▶4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
✓6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
✓6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
✓4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
6.9%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
▶6.9%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓6.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓8.4%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
5.3%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))))))
8.4%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
▶8.4%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
8.4%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
Compiler

Compiled 1 537 to 1 072 computations (30.3% saved)

series45.0ms (0.8%)

Memory
-13.3MiB live, 31.9MiB allocated; 5ms collecting garbage
Counts
60 → 119
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 3 binary64)
#s(literal -8 binary64)
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
(pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
#s(literal 1/4 binary64)
(*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal -4 binary64)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (/ (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))))) #s(hole binary64 (/ (+ (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2))) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))))
#s(approx (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) #s(hole binary64 (+ (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3)) (* 1/8 (pow (PI) 3)))))
#s(approx (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8) #s(hole binary64 (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))))
#s(approx (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3)))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)))) #s(hole binary64 (- (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2))) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))))
#s(approx (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))) #s(hole binary64 (- (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))))
#s(approx (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) #s(hole binary64 (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2))))
#s(approx (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)) #s(hole binary64 (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (* (sqrt (PI)) (pow (sqrt (sqrt (PI))) 2))))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) #s(hole binary64 (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (/ (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (/ (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (sqrt (PI)) 4)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (sqrt (PI)) 4)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (/ (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))))) #s(hole binary64 (/ (+ (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))))
#s(approx (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) #s(hole binary64 (+ (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3)) (* 1/8 (pow (PI) 3)))))
#s(approx (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8) #s(hole binary64 (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3))))
#s(approx (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3)))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)))) #s(hole binary64 (- (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))))
#s(approx (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))) #s(hole binary64 (- (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))))
#s(approx (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) #s(hole binary64 (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))))
#s(approx (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)) #s(hole binary64 (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ (* x (sqrt (/ -1 x))) (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (* (sqrt (PI)) (pow (sqrt (sqrt (PI))) 2))))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) #s(hole binary64 (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (/ (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (/ (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (sqrt (PI)) 4)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (sqrt (PI)) 4)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (/ (* x (sqrt (/ -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@inf
((+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/ (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))))) (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (PI) 1/8 (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8) (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2) 1/2 (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 3 -8 (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)))) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))) (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) -2 2 (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) 1 (sqrt 2) (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) (sqrt (sqrt (PI))) (sqrt (PI)) (* (sqrt (sqrt (PI))) (/ (sqrt (PI)) 2)) (/ (sqrt (PI)) 2) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (asin (sqrt (+ (* x -1/2) 1/2))) (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/ (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2))) (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) 1/4 (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2)) (/ (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (/ (pow (sqrt (PI)) 4) 4) (pow (sqrt (PI)) 4) 4 (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)))
9.0ms
x
@0
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9.0ms
x
@-inf
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rewrite386.0ms (6.6%)

Memory
8.7MiB live, 236.6MiB allocated; 232ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04784459
05813969
124793947
082803884
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
179 → 641
Calls
Call 1
Inputs
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x
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#s(approx (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) #s(hole binary64 (+ (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3)) (* 1/8 (pow (PI) 3)))))
#s(approx (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8) #s(hole binary64 (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3))))
#s(approx (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 3)))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)))) #s(hole binary64 (- (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2))) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))))
#s(approx (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))) #s(hole binary64 (- (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))))
#s(approx (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) #s(hole binary64 (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2))))
#s(approx (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)) #s(hole binary64 (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (- 1 x)) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) #s(hole binary64 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (* (sqrt (PI)) (pow (sqrt (sqrt (PI))) 2))))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) #s(hole binary64 (* -2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (/ (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (/ (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (sqrt (PI)) 4)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
#s(approx (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (sqrt (PI)) 4)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (+ 1/2 (* -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (pow (sqrt (PI)) 2)))))
#s(approx (/ (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))))) #s(hole binary64 (/ (+ (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))))
#s(approx (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) #s(hole binary64 (+ (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3)) (* 1/8 (pow (PI) 3)))))
#s(approx (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8) #s(hole binary64 (* -8 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3))))
#s(approx (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 3)))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (acos (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)))) #s(hole binary64 (- (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))))
#s(approx (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))) #s(hole binary64 (- (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)) (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))))
#s(approx (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) #s(hole binary64 (* 4 (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2))))
#s(approx (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)) #s(hole binary64 (* -1 (* (PI) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ (* x (sqrt (/ -1 x))) (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) #s(hole binary64 (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (* (sqrt (PI)) (pow (sqrt (sqrt (PI))) 2))))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) #s(hole binary64 (* -2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (/ (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) #s(hole binary64 (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) #s(hole binary64 (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (/ (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (sqrt (PI)) 4)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
#s(approx (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) #s(hole binary64 (- (* 1/4 (pow (sqrt (PI)) 4)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) #s(hole binary64 (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) #s(hole binary64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) #s(hole binary64 (asin (sqrt (- 1/2 (* 1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (sqrt (/ -1/2 x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* x -1/2) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (/ (sqrt (+ 1 (* -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (/ (* x (sqrt (/ -1 x))) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (/ 1 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x)))))) (/ (sqrt (/ -1 x)) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (/ (sqrt (/ -1 x)) (sqrt 2))) (/ 1/8 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/2 (* (pow x 2) (* (sqrt 2) (sqrt (/ -1 x))))) (+ (* 1/16 (/ 1 (* (pow x 6) (* (sqrt 2) (pow (sqrt (/ -1 x)) 5))))) (/ (sqrt (/ -1 x)) (sqrt 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (sqrt 2) (pow (sqrt (/ -1 x)) 3))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 x)) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 x))))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x))))) (/ 1/32 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3))))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1/2 x)) (+ (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 x)))) (* 1/128 (/ 1 (* (pow x 6) (pow (sqrt (/ -1/2 x)) 5)))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ -1/2 x)) 3)))))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
Outputs
#s(approx (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) (/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))) (/.f64 (*.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -512 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (pow.f64 (*.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (fma.f64 (*.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)))))
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(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
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(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
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(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
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#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
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#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* x -1/2) 1/2) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx x x)
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#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
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#s(approx (sqrt (- 1 x)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
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#s(approx (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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#s(approx (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (fma.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
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#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/2 binary64) #s(literal 5/2 binary64))) #s(literal -1/128 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* x -1/2) 1/2) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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#s(approx (+ (* (* (* (PI) (PI)) (PI)) 1/8) (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
#s(approx (* (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) -8) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)))
#s(approx (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 3) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
#s(approx (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* x -1/2) 1/2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (+ (* x -1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64)))))
#s(approx (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2))) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64)))))
#s(approx (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
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#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* (sqrt (sqrt (PI))) (* (sqrt (sqrt (PI))) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (+ (* 1/4 (* (PI) (PI))) (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
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#s(approx (* -4 (* (asin (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))))) (*.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (pow (sqrt (PI)) 4) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (fma.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
#s(approx (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (* x -1/2) 1/2) (*.f64 x #s(literal -1/2 binary64)))
#s(approx (+ (* x -1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (+ (* x -1/2) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (+ (* x -1/2) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))

eval110.0ms (1.9%)

Memory
-21.6MiB live, 258.0MiB allocated; 39ms collecting garbage
Compiler

Compiled 17 233 to 3 712 computations (78.5% saved)

prune89.0ms (1.5%)

Memory
26.5MiB live, 126.9MiB allocated; 12ms collecting garbage
Pruning

40 alts after pruning (31 fresh and 9 done)

PrunedKeptTotal
New61522637
Fresh6915
Picked415
Done088
Total62540665
Accuracy
10.1%
Counts
665 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
4.1%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
6.7%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
✓6.9%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
4.1%
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
✓6.7%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
6.8%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
8.3%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.8%
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
6.8%
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
✓6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
✓4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
✓6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
✓6.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
✓4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
6.9%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
6.9%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
6.9%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
6.8%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
6.9%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
6.9%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
6.8%
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓6.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓8.4%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
5.3%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))))))
6.9%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
6.9%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
6.9%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
6.8%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
7.0%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
8.4%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(approx (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64))))))))
8.4%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) #s(approx (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64)))))))
7.0%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
7.0%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))))))
7.0%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
8.4%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
7.0%
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
Compiler

Compiled 2 936 to 1 534 computations (47.8% saved)

regimes147.0ms (2.5%)

Memory
-27.8MiB live, 200.4MiB allocated; 30ms collecting garbage
Counts
55 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
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#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
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#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
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#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))))
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#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))))))
Outputs
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(approx (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64))))))))
Calls

7 calls:

38.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
37.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
14.0ms
(-.f64 #s(literal 1 binary64) x)
14.0ms
x
14.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
8.4%1(-.f64 #s(literal 1 binary64) x)
8.4%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.4%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.4%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.4%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.4%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes117.0ms (2%)

Memory
22.2MiB live, 171.4MiB allocated; 33ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) #s(approx (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64)))))))
Outputs
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) #s(approx (+ (* (* (PI) 1/2) (* (PI) 1/2)) (- (pow (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2) 2) (* (* (PI) 1/2) (* (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) -2)))) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64)))))))
Calls

7 calls:

37.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
33.0ms
(-.f64 #s(literal 1 binary64) x)
11.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
10.0ms
x
8.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
8.4%1(-.f64 #s(literal 1 binary64) x)
8.4%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.4%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.4%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.4%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.4%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes63.0ms (1.1%)

Memory
11.9MiB live, 157.3MiB allocated; 11ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -4 binary64) (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (- (/ (* (PI) (PI)) 4) (* (* (asin (sqrt (+ (* -1/2 x) 1/2))) (asin (sqrt (+ (* -1/2 x) 1/2)))) 4)) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ (PI) 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
Outputs
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
Calls

7 calls:

12.0ms
x
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
10.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
7.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
7.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
8.4%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.4%1(-.f64 #s(literal 1 binary64) x)
8.4%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.4%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.4%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.4%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes28.0ms (0.5%)

Memory
-25.9MiB live, 61.9MiB allocated; 12ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Calls

7 calls:

6.0ms
(-.f64 #s(literal 1 binary64) x)
3.0ms
x
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
2.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
2.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
6.8%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
6.8%1(-.f64 #s(literal 1 binary64) x)
6.8%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
6.8%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
6.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
6.8%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
6.8%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes8.0ms (0.1%)

Memory
27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
Calls

7 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
1.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
1.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
1.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
5.8%2x
4.1%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
4.1%1(-.f64 #s(literal 1 binary64) x)
4.1%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
4.1%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
4.1%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
4.1%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes4.0ms (0.1%)

Memory
-38.5MiB live, 7.6MiB allocated; 4ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
Calls

2 calls:

3.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
1.0ms
x
Results
AccuracySegmentsBranch
4.1%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
4.1%1x
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch58.0ms (1%)

Memory
6.9MiB live, 106.8MiB allocated; 12ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
55.0ms
-4.430573643356578e-307
4.236376642032552e-308
Samples
51.0ms112×2valid
Compiler

Compiled 226 to 225 computations (0.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-asin: 25.0ms (64.1% of total)
adjust: 6.0ms (15.4% of total)
ival-sqrt: 3.0ms (7.7% of total)
ival-sub!: 2.0ms (5.1% of total)
ival-mult!: 2.0ms (5.1% of total)
ival-div!: 1.0ms (2.6% of total)
ival-pi: 0.0ms (0% of total)

derivations201.0ms (3.4%)

Memory
15.6MiB live, 207.8MiB allocated; 11ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 177 to 98 computations (44.6% saved)

preprocess81.0ms (1.4%)

Memory
13.8MiB live, 106.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 190 to 109 computations (42.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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